So sánh phương pháp

	Thuật toán Tìm Giá trị Riêng Lượng Tử Biến phân	Ước lượng Pha Lượng tử
Lĩnh vực	Tính toán lượng tử	Tính toán lượng tử
Họ	Machine learning	Machine learning
Năm ra đời	2014	1995
Người khởi xướng	Alberto Peruzzo	Alexei Kitaev
Loại	Hybrid quantum-classical algorithm	Subroutine algorithm
Công trình gốc	Peruzzo, A., McClean, J., Shadbolt, P., et al. (2014). A variational eigenvalue solver on a photonic quantum processor. Nature Communications, 5, 4213.	Kitaev, A. Y. (1995). Quantum measurements and the Abelian stabilizer problem. arXiv preprint quant-ph/9511026.
Tên gọi khác	VQE, hybrid quantum-classical	QPE, phase kickback
Liên quan	4	3
Tóm tắt	The Variational Quantum Eigensolver (VQE) is a hybrid quantum-classical algorithm designed to find the lowest eigenvalue (ground state energy) of a quantum Hamiltonian. Introduced by Peruzzo et al. in 2014, it exploits the variational principle to combine the power of quantum circuits with classical optimization to solve chemistry and materials science problems on near-term quantum devices.	Quantum Phase Estimation (QPE) is a fundamental quantum subroutine that estimates the eigenvalues of a unitary operator. Developed by Alexei Kitaev in 1995, QPE combines controlled unitary evolution with the quantum Fourier transform to extract eigenvalues from quantum states with exponential precision scaling.